Solutions

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Question

A certain group of car dealerships agreed to donate x dollars to a Red Cross Chapter for each car sold during a 30-day period. What was the total amount that was expected to be donated?

I. A total of 500 cars were expected to be sold

II. Sixty more cars were sold than expected so that the total amount actually donated was $28,000


 

Option A:

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.

Option B:

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.

Option C:

BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.

Option D:

EACH statement ALONE is sufficient to answer the question asked.

Option E:

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

Difficulty Level

Hard

Solution

Option C is the correct answer.


Option Analysis

We need two things:

1. X

2. Total number of cars.

Statement I is insufficient: Total of 500 cars sold. Fine! But, we don’t know x, so donation amount cannot be computed. (Not Sufficient)

Statement II is insufficient: Let N be total number of cars: (N + 60)X = 28000

Again we don’t have N and X – Not Sufficient

Combine I and II,

560 * X = 28000

X = 2800 / 56 = 50

Total Contribution = 25000.


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